The object of this article is to expound our non-standard model <*R, N> for the time and space, in which *R is the non-standard real continuum and N the flying segment of N-the so-called non -Cantorian model of natural number sequence whose structure has been formulated previously (cf. Lizhi Xu's book "Selected Topics on the Methodology of Mathematics", Hua Zhong University of Science & Technology Press, 1983, Cha pter 7). As an application of the model, Zeno's paradoxes have been resolved in a very natural way. In fact, the concept of motion and that of motionlessness have only relative meaning with respect to the so-called monads of different orders in the model <*R, N>. |